Case study·Standard multi-step (3/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

On a map, a school is at S(1,1)S(1,1), a library at L(7,9)L(7,9) and a park at P(1,9)P(1,9). A student compares the direct walk from school to library with the walk through the park.
Total: 4 marks

(a) Find the direct distance SLSL. (1 mark)

(b) Find the total distance SP+PLSP+PL. (2 marks)

(c) How much longer is the route through the park? (1 mark)

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cbse-math-10.u3.t3-1.case.005

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